71 ideas
2056 | Philosophers are always switching direction to something more interesting [Plato] |
2086 | Understanding mainly involves knowing the elements, not their combinations [Plato] |
2083 | Either a syllable is its letters (making parts as knowable as whole) or it isn't (meaning it has no parts) [Plato] |
12274 | Begin examination with basics, and subdivide till you can go no further [Aristotle] |
2082 | A rational account is essentially a weaving together of things with names [Plato] |
12260 | Dialectic starts from generally accepted opinions [Aristotle] |
2052 | Eristic discussion is aggressive, but dialectic aims to help one's companions in discussion [Plato] |
12291 | There can't be one definition of two things, or two definitions of the same thing [Aristotle] |
12292 | Definitions are easily destroyed, since they can contain very many assertions [Aristotle] |
15854 | A primary element has only a name, and no logos, but complexes have an account, by weaving the names [Plato] |
12283 | In definitions the first term to be assigned ought to be the genus [Aristotle] |
12272 | We describe the essence of a particular thing by means of its differentiae [Aristotle] |
12279 | The differentia indicate the qualities, but not the essence [Aristotle] |
12261 | Differentia are generic, and belong with genus [Aristotle] |
12263 | 'Genus' is part of the essence shared among several things [Aristotle] |
12289 | The genera and the differentiae are part of the essence [Aristotle] |
12285 | The definition is peculiar to one thing, not common to many [Aristotle] |
11261 | Puzzles arise when reasoning seems equal on both sides [Aristotle] |
8717 | Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend] |
12273 | Unit is the starting point of number [Aristotle] |
10216 | We master arithmetic by knowing all the numbers in our soul [Plato] |
10113 | The grounding of mathematics is 'in the beginning was the sign' [Hilbert] |
10115 | Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman] |
10116 | Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman] |
2060 | There seem to be two sorts of change: alteration and motion [Plato] |
12267 | There are ten categories: essence, quantity, quality, relation, place, time, position, state, activity, passivity [Aristotle] |
12282 | An individual property has to exist (in past, present or future) [Aristotle] |
12264 | An 'accident' is something which may possibly either belong or not belong to a thing [Aristotle] |
12280 | Genus gives the essence better than the differentiae do [Aristotle] |
2084 | If a word has no parts and has a single identity, it turns out to be the same kind of thing as a letter [Plato] |
15844 | A sum is that from which nothing is lacking, which is a whole [Plato] |
15843 | The whole can't be the parts, because it would be all of the parts, which is the whole [Plato] |
13269 | In the case of a house the parts can exist without the whole, so parts are not the whole [Aristotle] |
12284 | Everything that is has one single essence [Aristotle] |
12262 | An 'idion' belongs uniquely to a thing, but is not part of its essence [Aristotle] |
12290 | Destruction is dissolution of essence [Aristotle] |
12286 | If two things are the same, they must have the same source and origin [Aristotle] |
12288 | Numerical sameness and generic sameness are not the same [Aristotle] |
12266 | 'Same' is mainly for names or definitions, but also for propria, and for accidents [Aristotle] |
12287 | Two identical things have the same accidents, they are the same; if the accidents differ, they're different [Aristotle] |
12259 | Reasoning is when some results follow necessarily from certain claims [Aristotle] |
2080 | Things are only knowable if a rational account (logos) is possible [Plato] |
16126 | Expertise is knowledge of the whole by means of the parts [Plato] |
2050 | It is impossible to believe something which is held to be false [Plato] |
2076 | How can a belief exist if its object doesn't exist? [Plato] |
2067 | Our senses could have been separate, but they converge on one mind [Plato] |
2045 | Perception is infallible, suggesting that it is knowledge [Plato] |
2068 | With what physical faculty do we perceive pairs of opposed abstract qualities? [Plato] |
2069 | Thought must grasp being itself before truth becomes possible [Plato] |
2078 | You might mistake eleven for twelve in your senses, but not in your mind [Plato] |
2089 | An inadequate rational account would still not justify knowledge [Plato] |
2085 | Parts and wholes are either equally knowable or equally unknowable [Plato] |
2091 | Without distinguishing marks, how do I know what my beliefs are about? [Plato] |
2087 | A rational account might be seeing an image of one's belief, like a reflection in a mirror [Plato] |
2090 | A rational account involves giving an image, or analysis, or giving a differentiating mark [Plato] |
2081 | Maybe primary elements can be named, but not receive a rational account [Plato] |
2088 | A rational account of a wagon would mean knowledge of its hundred parts [Plato] |
2047 | What evidence can be brought to show whether we are dreaming or not? [Plato] |
2054 | Clearly some people are superior to others when it comes to medicine [Plato] |
2053 | If you claim that all beliefs are true, that includes beliefs opposed to your own [Plato] |
2059 | How can a relativist form opinions about what will happen in the future? [Plato] |
12271 | Induction is the progress from particulars to universals [Aristotle] |
12293 | We say 'so in cases of this kind', but how do you decide what is 'of this kind'? [Aristotle] |
12277 | Friendship is preferable to money, since its excess is preferable [Aristotle] |
12276 | Justice and self-control are better than courage, because they are always useful [Aristotle] |
12275 | We value friendship just for its own sake [Aristotle] |
12281 | Man is intrinsically a civilized animal [Aristotle] |
12265 | All water is the same, because of a certain similarity [Aristotle] |
2058 | God must be the epitome of goodness, and we can only approach a divine state by being as good as possible [Plato] |
12278 | 'Being' and 'oneness' are predicated of everything which exists [Aristotle] |
2057 | There must always be some force of evil ranged against good [Plato] |